I want to get answers a-c using MATLAB (THIS IS THE ODE:Ordinary Differential Equation)

13. In this problem, we use the direction field capabilities of MATLAB to study two nonlinear equations, one autonomous and one non-autonomous. (a) Plot the direction field for the equation dy = 3 sin y+y-2 dt on a rectangle large enough (but not too large) to show all possible limiting behaviors of solutions as t x. Find approximate values for all the equilibria of the system (you should be able to do this with fzero using guesses based on the direction field picture), and state whether each is stable or unstable. (b) Plot the direction field for the equation = y2 - ty. again using a rectangle large enough to show the possible limiting behaviors. Identify the unique constant solution. Why is this solution evident from the differential equation? If a solution curve is ever below the constant solution, what must its limiting behavior be as I increases? For solutions lying above the constant solution, describe two possible limiting behaviors as t increases. There is a solution curve that lies along the boundary of the two limiting behaviors. What does it do as t increases? Explain (from the differential equation) why no other limiting behavior is possible. (c) Confirm your analysis by using dsolve on the initial value problem y' y ty. y(0) = 4, and then examining different values of c